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anonymous

6 years ago

ups, 2 missing in the denominator
\[\sqrt{30}/10\]

Kainui

6 years ago

\[\sqrt{24}/(4\sqrt{5})\] So first off, what can we take out of the square root? It looks like \[\sqrt{24}=\sqrt{2*2*2*3}=2\sqrt{6}\] Since 2*2 is just 4, we can take the square root and bring a 2 out front, but the 2 and 3 stay behind since they're not squares.
Using some exponent rules, since everything is multiplied together.\[2\sqrt{6}/4\sqrt{5}=(1/2)\sqrt{6/5}\]